Patterns of Dynamics (eBook)

Part I   Patterns and waves.- Michael Herrmann, Karsten Matthies:  Uniqueness of solitary waves in the high-energy limit of FPU-type chains.- Jürgen Scheurle:  Patterns in Fourier space. - Guido Schneider, Dominik Zimmermann: The Turing instability in case of an additional conservation law – Dynamics near the Eckhaus boundary and open questions.- Anna Zakharova, Nadezhda Semenova, Vadim Anishchenko, Eckehard Schöll: Noise-induced chimera states in a neural network.- Part II  Statistical properties of dynamics.– Fredrik Ekström, Jörg Schmeling: A Survey on the Fourier Dimension.- Arnd Scheel, Sergey Tikhomirov:  Depinning asymptotics in ergodic media.- Part III Nonlinear partial differential equations.- V. F. Butuzov, N. N. Nefedov, O. E. Omel’chenko, L. Recke, K. R. Schneider: An Implicit Function Theorem and Applications to Nonsmooth Boundary Layers.– Yihong Du, Messoud Efendiev:  Existence And Exact Multiplicity For Quasilinear Elliptic Equations In Quarter-Spaces.- Marek Fila, Hiroshi Matano, Eiji Yanagida: Non-uniqueness of solutions of a semilinear heat equation with singular initial data. - Alexander Mielke: Uniform exponential decay for reaction-diffusion systems with complex-balanced mass-action kinetics.- Peter Polacik: Convergence and quasiconvergence properties of solutions of parabolic equations on the real line: an overview.- Lutz Recke, Martin Väth, Milan Kucera, Josef Navrátil:  Crandall-Rabinowitz Type Bifurcation for Non-Differentiable Perturbations of Smooth Mappings.- Matthias Wolfrum: Enumeration of positive meanders.- Part IV  Control and numeric.- Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes:  Freezing Traveling and Rotating Waves in Second Order Evolution Equations. - Klaus Böhmer:   Numerical Center Manifold Methods. - Isabelle Schneider: An introduction to the control triple method for partial differential equations.- Part V  Applications – Biology and Data Science. - Karthikeyan Rajendran, Assimakis Kattis, Alexander Holiday, Risi Kondor, Ioannis G. Kevrekidis: Data mining when each data point is a network.- Alan D. Rendall: A Calvin bestiary. - Lisa Turnhoff, Nina Kusch, Andreas Schuppert:  Big Data and Dynamics – the mathematical toolkit towards Personalized Medicine.- Sjoerd Verduyn Lunel: Using dynamics to analyse time series.- Lai-Sang Young:  Unraveling the dynamics of the Brain through modeling and analysis.